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Finding the Third Proportional to 97,111 and 200,965

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Solution

The third proportional to 97,111 and 200,965 is: 415,884.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,111 : 200,965 = 200,965 : x
  2. Step 2: Convert to fraction form
    97,111/200,965 = 200,965/x
  3. Step 3: Cross multiply
    97,111x = 200,965 × 200,965
  4. Step 4: Simplify right side
    97,111x = 40,386,931,225
  5. Step 5: Solve for x
    x = 40,386,931,225/97,111
  6. Step 6: Final answer
    x = 415,884.21

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.